Multisymplectic schemes for the nonlinear Klein-Gordon equation

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	Multisymplectic schemes for the nonlinear Klein-Gordon equation
	Wang, YS ; Qin, MZ
	2002-12-01
发表期刊	MATHEMATICAL AND COMPUTER MODELLING
ISSN	0895-7177
卷号	36 期号:9-10 页码:963-977
摘要	In this paper, we derive the multisymplectic structure of the nonlinear Klein-Gordon equation directly from the variational principle and show the connection between the relative theories of Bridges-Reich's and Marsdon-Partrick-Shkoller's. In the numerical aspect, we construct a series of multisymplectic schemes for the nonlinear Klein-Gordon equation. Among these schemes, some are the classical, such as the five points scheme and the Preissman box scheme, some are new which we never encountered in the literature. Some numerical results are also reported to show the effectiveness of the schemes. (C) 2002 Elsevier Science Ltd. All rights reserved.
关键词	multisymplectic structure variational principle multisymplectic schemes nonlinear Klein-Gordon equation numerical experiments
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000179831100002
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17421
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, YS
作者单位	1.Chinese Acad Sci, Inst Atmospher Phys, LASG, Beijing 100029, Peoples R China 2.Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wang, YS,Qin, MZ. Multisymplectic schemes for the nonlinear Klein-Gordon equation[J]. MATHEMATICAL AND COMPUTER MODELLING,2002,36(9-10):963-977.
APA	Wang, YS,&Qin, MZ.(2002).Multisymplectic schemes for the nonlinear Klein-Gordon equation.MATHEMATICAL AND COMPUTER MODELLING,36(9-10),963-977.
MLA	Wang, YS,et al."Multisymplectic schemes for the nonlinear Klein-Gordon equation".MATHEMATICAL AND COMPUTER MODELLING 36.9-10(2002):963-977.